norm edit page

Calculate the L2-norm also known as texture index of a SO3Fun, by using

\[ t = \sqrt{\frac1{8\pi^2}\int_{SO(3)} |f( R ) |^2 dR},\]

where \(vol(SO(3)) = \int_{SO(3)} 1 dR = 8\pi^2\).

Syntax

t = norm(SO3F)

Input

SO3F SO3Fun

Output

t double

Options

resolution choose mesh width by calculation of mean